10200444441000 has 128 divisors (see below), whose sum is σ = 34718603736960. Its totient is φ = 2472835008000.

The previous prime is 10200444440999. The next prime is 10200444441049. The reversal of 10200444441000 is 14444400201.

It is a happy number.

10200444441000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 154519189 + ... + 154585188.

It is an arithmetic number, because the mean of its divisors is an integer number (271239091695).

Almost surely, 2^{10200444441000} is an apocalyptic number.

10200444441000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10200444441000 is an abundant number, since it is smaller than the sum of its proper divisors (24518159295960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10200444441000 is a wasteful number, since it uses less digits than its factorization.

10200444441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 309104412 (or 309104398 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 10200444441000 its reverse (14444400201), we get a palindrome (10214888841201).

The spelling of 10200444441000 in words is "ten trillion, two hundred billion, four hundred forty-four million, four hundred forty-one thousand".